{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "Decomposition to classify with DictionaryLearning"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "from sklearn.datasets import load_iris\n",
    "iris = load_iris()\n",
    "iris_X = iris.data\n",
    "y = iris.target\n",
    "\n",
    "X_train = iris_X[::2]\n",
    "X_test = iris_X[1::2]\n",
    "y_train = y[::2]\n",
    "y_test = y[1::2]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[ 0.        ,  6.34476574,  0.        ],\n",
       "       [ 0.        ,  5.83576461,  0.        ],\n",
       "       [ 0.        ,  6.32038375,  0.        ],\n",
       "       [ 0.        ,  5.89318572,  0.        ],\n",
       "       [ 0.        ,  5.45222715,  0.        ]])"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sklearn.decomposition import DictionaryLearning\n",
    "\n",
    "dl = DictionaryLearning(3)\n",
    "\n",
    "transformed = dl.fit_transform(X_train)\n",
    "transformed[:5]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "test_transform = dl.transform(X_test)\n",
    "\n",
    "from mpl_toolkits.mplot3d import Axes3D\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.text.Text at 0xb49e9e8>"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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qayQ71WyYq5vNScwe3+5hgZ2Mds+zqvXohENs0O2adv1mn71Vobn2Nek7o9cP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\nq9WqJ3uqFTqhnbsTKDsfCoUQj8dVh7darbpqp7qh3LdrTpJ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ahOnmcxmrlhmRy4S8JsMC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D8yn+8daAeES6LHOb7X7/0CYjZAUsN+KlOZ9zCE+YFisQjXdbX6Bk2CDcJra2uCVARt7E0QD5ZO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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xb360748>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(14,7))\n",
    "ax = fig.add_subplot(121, projection='3d')\n",
    "ax.scatter(transformed[:,0],transformed[:,1],transformed[:,2],c=y_train,marker = '^')\n",
    "ax.set_title(\"Training Set\")\n",
    "\n",
    "ax2 = fig.add_subplot(122, projection='3d')\n",
    "ax2.scatter(test_transform[:,0],test_transform[:,1],test_transform[:,2],c=y_test,marker = '^')\n",
    "ax2.set_title(\"Testing Set\")"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 2",
   "language": "python",
   "name": "python2"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.11"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}
